1676879963136 has 891 divisors, whose sum is σ = 5898653522697. Its totient is φ = 457477816320.

The previous prime is 1676879963131. The next prime is 1676879963159. The reversal of 1676879963136 is 6313699786761.

The square root of 1676879963136 is 1294944.

It is a perfect power (a square), and thus also a powerful number.

1676879963136 is a `hidden beast` number, since 167 + 68 + 7 + 9 + 96 + 313 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 80801473536 + 1596078489600 = 284256^2 + 1263360^2 .

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (370355328) is a multiple of the sum of its prime factors (216).

It is not an unprimeable number, because it can be changed into a prime (1676879963131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 35678297065 + ... + 35678297111.

Almost surely, 2^{1676879963136} is an apocalyptic number.

1676879963136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1676879963136 is the 1294944-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1676879963136

1676879963136 is an abundant number, since it is smaller than the sum of its proper divisors (4221773559561).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1676879963136 is an equidigital number, since it uses as much as digits as its factorization.

1676879963136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 100 counting only the distinct ones).

The product of its digits is 370355328, while the sum is 72.

The spelling of 1676879963136 in words is "one trillion, six hundred seventy-six billion, eight hundred seventy-nine million, nine hundred sixty-three thousand, one hundred thirty-six".